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Free_Kalibri [48]

3 years ago

8

A beekeeper pours honey into jars. Each large jar holds 18 ounces of honey. Each small jar holds 12 ounces of honey. The beekeep

er fills 32 large jars and 46 small jars. Which answer is the most reasonable estimate of the total amount of honey in the jars?

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

Answer: 1100 ounces because 20 × 30 + 10 × 50 = 1100

Step-by-step explanation:

Amount of honey contained in each large jar = 18 ounces

Number of large jar filled = 32

Total amount of honey in large jars:

= 18 ounces × 32

= 576 ounces

Amount of honey contained in each small jar = 12 ounces

Number of small jars filled = 46

Total amount of honey in small jars:

= 12 ounces × 46

= 552 ounces

The total amount of hones in the jars will be the addition of the honey in the small and large jars. This will be:

= 576 ounces + 552 ounces

= 1128 ounces

The most reasonable estimate will be:

1100 ounces because 20 × 30 + 10 × 50 = 1100

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8 0

3 years ago

53 - 9y = 1<br> -7.2 + 2y = -5

telo118 [61]

Answer:

1.1, -5

Step-by-step explanation:

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3 years ago

When the water was 4 feet from the end of the hose, what was its height above the ground? 3.2 feet 4.8 feet 5.6 feet 6.8 feet

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Answer:

Step-by-step explanation:

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8 0

2 years ago

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
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the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

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do r<D

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6 0

3 years ago

Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Functions
Function Notation

<u>Algebra II</u>

Piecewise Functions<u> </u>

<u>Calculus</u>

Limits
Continuity

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Continuous at x = 2

$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

<u>Step 2: Solve for </u><em><u>k</u></em>

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Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
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Rewrite: $\displaystyle k = 6$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

4 0

3 years ago

Read 2 more answers